Finding the Third Proportional to 20,501 and 42,743

Step by Step Solution

1. Step 1: Write the proportion equation
   20,501 : 42,743 = 42,743 : x
2. Step 2: Convert to fraction form
   20,501/42,743 = 42,743/x
3. Step 3: Cross multiply
   20,501x = 42,743 × 42,743
4. Step 4: Simplify right side
   20,501x = 1,826,964,049
5. Step 5: Solve for x
   x = 1,826,964,049/20,501
6. Step 6: Final answer
   x = 89,115.85